Significant Figures: The Lives and Work of Great Mathematicians


Tom Verde

Ian Stewart

2017, Basic Books, 978-0-46509613-8, $16.99 hb.

This book will fascinate readers with even a passing interest in mathematics. Among the “top 25” mathematical pioneers profiled, Muhammad ibn Musa al-Khwarizmi (c. 780–c. 850) will stand out. “[W]hat is easiest and most useful in arithmetic” for resolving legal, commercial and engineering difficulties, al-Khwarizmi pondered in his landmark al-Kitab al-mukhtaser fi hisab al-jabr wa-l-muqabala (The Compendious Book on Calculation by Completion and Balancing), written around 830. His answer, identified in the title, was al-jabr, “completion,” later Anglicized to “algebra,” a method he devised to find unknown quantities in what are now familiar, x-and-y equations. And while he was at it, he “almost singlehandedly” introduced medieval Europe to “Hindu numerals”—including the hitherto unknown zero—which ultimately led to “Algoritmi” or algorithms, a term derived from his Westernized name (Algorismi).

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